3D Measurement

Volume Basics

100

What is volume?

The amount of space inside a 3D object.

200

What formula is used to find the volume of a rectangular prism?

A = length x width x height

(A= l x w x h)

300

Find the volume using the following measurements.

Length = 4cm, Width = 3cm, Height = 2cm

V = l x w x h

V = 4cm x 3cm x 2cm

V= 24cm³

400

A box is 12cm long, 6cm wide, and 10cm high. What is the volume?

V = l x w x h

V = 12cm x 6cm x 10cm

V = 720cm³

500

If you double the height of a rectangular prism, what happens to the volume?

It doubles.

Surface Area

100

What is surface area?

The total area of all faces of a 3D object.

200

What shape are the faces of a cube?

Squares.

300

How many faces does a rectangular prism have? How many edges? How many vertices? Draw it out!

6 faces, 12 edges, 8 vertices.

400

Find the surface area of a cube with a side length of 2cm. Show your work & draw the net of a cube.

24cm²

500

Why is surface area important in real life? 

Wrapping gifts, painting walls, packaging etc.

3D Shapes

100

Name a 3D shape with 6 equal square faces.

A cube.

200

What 3D shape has a circular base and one vertex / apex? Draw it out.

Cone.

300

What shape has 2 circular bases and one curved surface? Draw the net for it.

Cylinder.

400

How many vertices does a triangular prism have?

6.

500

Which shape would hold more: a thin cylinder or a wide cylinder (same height)?

The wider one (larger base area = more volume)

Units and Conversions

100

Which unit would you use to measure volume: cm, cm², or cm³

cm³

200

A box has a volume of 24cm³. Write one possible set of dimensions.

Answers may vary (e.g., 2cm x 3cm x 4cm).

300

Why do we use cm³ instead of cm when measuring volume?

Because volume measures 3D space (length x width x height).

400

A cube has a side length of 10cm. What is its volume in cm³?

1000cm³

500

Which is larger 1m³ or 1 000cm³?

1m³ (1m³ = 1 000 000cm³)

Challenge Questions

100

A cube has a volume of 27cm³. What is the side length?

3cm.

200

Which changes faster as a shape grows: surface area or volume?

Volume.

300

True or False: Surface area and volume are the same thing. If not, explain the difference.

False.

Surface area measures the total area covering the outside of an object (2D measurement in square units), while volume measures the space inside an object, or how much it can hold (3D measurement in cubic units). 

400

A prism has a volume 60cm³ and base area 12cm². What is the height.

5cm

500

Explain why a larger box might not always have more surface area than a smaller one.

Shape and dimensions affect surface area differently than volume.